Cook sausage in a large skillet over medium-high heat, stirring until sausage crumbles and is no longer pink. Drain well.
Arrange bread slices in a lightly greased 8-inch square baking dish. Sprinkle sausage over bread. Sprinkle half of cheese over sausage.
Whisk together eggs and next 3 ingredients. Pour over cheese. Sprinkle with ham; top with remaining cheese. Cover and chill 8 hours.
Bake casserole at 350° for 45 minutes.